Question

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of...

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). If answer is zero enter "0".

 Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 700 Blocks 400 Error Total 1,500

Use alpha= .05 to test for any significant differences.

The given ANOVA Table is completed as follows:

 Source of Variation Sum of Squares Degrees of Freedom Mean Square F p - value Treatments 700 4-1=3 700/3=233.33 233.33/19.05=12.25 0.0001 Blocks 400 8-1=7 400/7=57.14 57.14/19.05=3.00 0.0239 Error 400 32-4-8+1=21 400/21=19.05 Total 1500 32-1=31

For Treatments:

F = 233.33/19.05=12.25

Degrees of Freedom = (3,21). By Technology, p - value = 0.0001

Since p - value = 0.0001 is less than = 0.05, the difference is significant. Reject null hypothesis.

For Blocks:

F = 57.14/19.05=3.00

Degrees of Freedom = (7,21). By Technology, p - value = 0.0239

Since p - value = 0.0239 is less than = 0.05, the difference is significant. Reject null hypothesis.

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